AP Calculus BC Multiple Choice 1998 Questions And Answers

Questions And Worked Solutions For AP Calculus BC Multiple Choice 1998, Practice Exam

AP Calculus BC Multiple Choice 1998 Questions - Practice Exam (pdf)

Part A, Q1 - 28

Part B, Q76 - 92

• Show Video for Q76 - 92

1. What are all values of x for which the function f defined by f(x) = x³ + 3x² - 9x + 7 is increasing?
2. In the xy-plane, the graph of the parametric equations x = 5t + 2 and y = 3t, for −3 ≤ t ≤ 3 , is a line segment with slope
3. The slope of the line tangent to the curve
4. Antiderivative
5. If f and g are twice differentiable and if h(x) - f(g(x)) then h''(x) =
6. The graph of y = h(x) is shown above. Which of the following could be the graph of y = h'(x)?
7. Antiderivative
8. If dy/dx = sinxcos^{2 x}
9. The flow of oil, in barrels per hour, through a pipeline on July 9 is given by the graph shown above. Of the following, which best approximates the total number of barrels of oil that passed through the pipeline that day?
10. A particle moves on a plane curve so that at any time t > 0 its x-coordinate is t³ - t and its y-coordinate is (2t - 1)³. The acceleration vector of the particle at t = 1 is
11. If f is a linear function and 0 < a < b
12. If f(x) =
13. The graph of the function f shown in the figure above has a vertical tangent at the point (2,0) and horizontal tangents at the points (1, -1) and (3,1). For what values of x, −2 < x < 4, is f not differentiable?
14. What is the approximation of the value of sin 1 obtained by using the fifth-degree Taylor polynomial about x = 0 for sin x ?
15. Antiderivative
16. If f is the function defined by f(x) = 3x⁵ - 5x⁴, what are all the x-coordinates of points of inflection for the graph of f?
17. The graph of a twice-differentiable function f is shown in the figure above. Which of the following is true?
18. Which of the following series converge?
19. The area of the region inside the polar curve r = 4sin θ and outside the polar curve r = 2 is given by
20. When x = 8 , the rate at which
21. The length of the path described by the parametric equations
22. Limits
23. Let f be a function defined and continuous on the closed interval [a, b]. If f has a relative maximum at c and a < c < b , which of the following statements must be true?
24. Shown above is a slope field for which of the following differential equations?
25. Antiderivative
26. The population P(t) of a species satisfies the logistic differential equation
27. Taylor series that converges to f(x)
28. Limits

 

76. For what integer k, k > 1, will both
77. If f is a vector-valued function defined by
78. The radius of a circle is decreasing at a constant rate of 0.1 centimeter per second. In terms of the circumference C, what is the rate of change of the area of the circle, in square centimeters per second?
79. Let f be the function given by
80. Let R be the region enclosed by the graph of
81. Derivative
82. If f(x) = g(x) + 7 for 3 ≤ x ≤ 5
83. The Taylor series for ln x , centered at x = 1
84. What are all values of x for which the series
85. The function f is continuous on the closed interval [2,8] and has values that are given in the table above. Using the subintervals [2,5 , 5,7 , ] [ ] and [7,8], what is the trapezoidal approximation of
86. The base of a solid is a region in the first quadrant bounded by the x-axis, the y-axis, and the line x + 2y = 8 , as shown in the figure above. If cross sections of the solid perpendicular to the x-axis are semicircles, what is the volume of the solid?
87. Which of the following is an equation of the line tangent to the graph
88. Let g(x) =
89. The graph of the function represented by the Maclaurin series
90. A particle starts from rest at the point (2,0) and moves along the x-axis with a constant positive acceleration for time t ≥ 0 . Which of the following could be the graph of the distance ( ) s t of the particle from the origin as a function of time t?
91. The data for the acceleration ( ) a t of a car from 0 to 6 seconds are given in the table above. If the velocity at t = 0 is 11 feet per second, the approximate value of the velocity at t = 6 , computed using a left-hand Riemann sum with three subintervals of equal length, is
92. Let f be the function given by

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.